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Hessian group information


In mathematics, the Hessian group is a finite group of order 216, introduced by Jordan (1877) who named it for Otto Hesse. It may be represented as the group of affine transformations with determinant 1 of the affine plane over the finite field of 3 elements.[1] It has a normal subgroup that is an elementary abelian group of order 32, and the quotient by this subgroup is isomorphic to the group SL2(3) of order 24. It also acts on the Hesse pencil of elliptic curves, and forms the automorphism group of the Hesse configuration of the 9 inflection points of these curves and the 12 lines through triples of these points.

The triple cover of this group is a complex reflection group, 3[3]3[3]3 or of order 648, and the product of this with a group of order 2 is another complex reflection group, 3[3]3[4]2 or of order 1296.

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Hessian group

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the Hessian group is a finite group of order 216, introduced by Jordan (1877) who named it for Otto Hesse. It may be represented as the group of affine...

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Hessian

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up Hessian or hessian in Wiktionary, the free dictionary. A Hessian is an inhabitant of the German state of Hesse. Hessian may also refer to: Hessian (soldier)...

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Hessian dialects

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Hessian (German: Hessisch) is a West Central German group of dialects of the German language in the central German state of Hesse. The dialect most similar...

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Otto Hesse

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invariants, and geometry. The Hessian matrix, the Hesse normal form, the Hesse configuration, the Hessian group, Hessian pairs, Hesse's theorem, Hesse...

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Hessian polyhedron

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through each point. Its complex reflection group is 3[3]3[3]3 or , order 648, also called a Hessian group. It has 27 copies of , order 24, at each vertex...

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Battle of Trenton

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Continental Army against Hessian auxiliaries garrisoned at Trenton. After a brief battle, almost two-thirds of the Hessian force were captured, with...

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Central German

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spoken in Lorraine Hessian North Hessian (Nordhessisch) East Hessian (Osthessisch) Central Hessian (Mittelhessisch) South Hessian (Südhessisch) East Central...

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The Hessian Renegades

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crucial message to General Washington but he is spotted by a group of enemy soldiers called Hessians. He finds refuge with a family, but his enemies soon discover...

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Urnfield culture

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Rhenish-Swiss group in Rhineland-Palatinate, Switzerland and eastern France, (abbreviated RSFO in French) Lower-Rhine Urnfield culture Lower Hessian Group...

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Hessian equation

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In mathematics, k-Hessian equations (or Hessian equations for short) are partial differential equations (PDEs) based on the Hessian matrix. More specifically...

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Hesse

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a dialect group of its own: Hessian, whereas only South Hessian is part of Rhine Franconian. Hessian proper can be split into Lower Hessian in the north...

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2023 Hessian state election

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The 2023 Hessian state elections was held on Sunday October 8, to elect the 21st Landtag of Hesse. The outgoing government was a coalition of the Christian...

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Hesse configuration

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has 216 symmetries (its automorphism group has order 216). The group of its symmetries is known as the Hessian group. Removing any one point and its four...

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West Central German

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Pennsylvania Hessian (Hessisch) in Hesse and the Rhenish Hesse region of Rhineland-Palatinate North Hessian (Nordhessisch) Central Hessian (Mittelhessisch)...

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Rosella Kanarik

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1934). Her doctoral dissertation on Fundamental regions in S4 for the Hessian group was supervised by Montgomery Culver. Jobs were scarce when she graduated...

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Pennsylvania Dutch

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individual Hessian soldiers who switched sides. British soldiers were offered fifty to eight hundred acres, depending on rank. Many Hessian prisoners were...

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Heavy metal subculture

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Metal culture has also grown more popular among African Americans and other groups in recent times. Heavy metal fans go by a number of different names, including...

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Hessians Motorcycle Club

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The Hessians Motorcycle Club or Hessians MC is an American "one-percenter" or outlaw motorcycle club. The Hessians Motorcycle Club was founded on March...

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Merck Group

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title of Wehrwirtschaftsführer. In addition, Merck was president of the Hessian Chamber of Commerce and Industry as well as performing an advisory function...

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Hessian affine region detector

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The Hessian affine region detector is a feature detector used in the fields of computer vision and image analysis. Like other feature detectors, the Hessian...

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Hessian form of an elliptic curve

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In geometry, the Hessian curve is a plane curve similar to folium of Descartes. It is named after the German mathematician Otto Hesse. This curve was...

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Hessian Hills School

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15. In 1934, Hessian Hills School, City and Country School in New York City, and five other like-minded progressive schools formed a group called Associated...

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Twisted Hessian curves

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In mathematics, the Twisted Hessian curve represents a generalization of Hessian curves; it was introduced in elliptic curve cryptography to speed up the...

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1954 Hessian state election

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The 1954 Hessian state election was held on 28 November 1954 to elect the 3rd Landtag of Hesse. The outgoing government was a majority of the Social Democratic...

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Hesse Highlands

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The Hesse Highlands (German: Hessisches Bergland), Hessian Highlands or Hessian Highlands and Lowlands (Hessisches Berg- und Senkenland), are a largely...

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Hessian Skittles

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The Hessian Skittles (German: Hessisches Kegelspiel) are a group of nine extinct volcanoes in the northwestern and lowest part of the Rhön Mountains in...

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Elections in Germany

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Hessian state election 2003 Hessian state election 2008 Hessian state election 2009 Hessian state election 2013 Hessian state election 2018 Hessian state...

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